| 多圆环柱域上解析函数的边值问题 |
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| 引用本文： | 王莉萍.多圆环柱域上解析函数的边值问题[J].中国海洋大学学报(自然科学版),1996(1). |
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| 作者姓名： | 王莉萍 |
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| 摘 要： | 讨论多圆环柱域上多个复变量的解析函数的Riemann一Hilbert边值问题。通过引入变态的边值问题和对解析函数的Dirichlet边值问题的可解性的证明，给出了解析函数的Riemann－Hilbert边值问题可解的充要条件及解的积分表达式。
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| 关 键 词： | 多圆环柱域 多个复变量的解析函数 Riemann—Hilbert边值问题 |
BOUNDARY VALUE PROBLEM FOR ANALYTIC FUNCTIONS IN SEVERAL CIRCULAR RING CYLINDER-DOMAIN |
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| Wang Liping.BOUNDARY VALUE PROBLEM FOR ANALYTIC FUNCTIONS IN SEVERAL CIRCULAR RING CYLINDER-DOMAIN[J].Periodical of Ocean University of China,1996(1). |
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| Authors: | Wang Liping |
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| Institution: | Applied Mathematics Department |
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| Abstract: | In this paper, we discuss the Riemann-Hilbert boundary value problem for analytic functions of several complex variables in several circular ring cylinder-domain. Through the introdtiction of modified boundary value problems and the proof of the solvability of the Dirichlet boundary value problem for analytic functions the sufficient and necessary solvable conditions and integral expressions of solutions for the Riemann-Hilbert boundary value problem for anlytic functions are given. |
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| Keywords: | Analytic function of several complex variables Riemann-Hilbert boundary value problem boundary condition solvability |
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